Minimal surfaces with helicoidal ends

Abstract

In this paper we describe a new deformation that connects minimal disks with planar ends with minimal disks with helicoidal ends. In this way, we are able to construct a family of complete minimal surfaces with helicoidal ends that contains the singly periodic genus one helicoid of Hoffman, Karcher and Wei.

26 pages, 10 figures

Cited by in corpus (1)

• A uniqueness theorem for the singly periodic genus-one helicoid